Numerical simulation of Bloch equations for dynamic magnetic resonance imaging

DOI10.1016/J.APNUM.2017.09.007zbMath1378.78033arXiv1703.05985OpenAlexW2604473767MaRDI QIDQ1675510

Arijit Hazra, Hans-Georg Raumer, Gert Lube

Publication date: 27 October 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05985

zbMATH Keywords

discontinuous Galerkin methodmagnetic resonance imagingexplicit Runge-Kutta methodsincompressible mediumCOMSOLBloch modelFLASH-technologyflowing spins

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Electromagnetic theory (general) (78A25) Method of lines for boundary value problems involving PDEs (65N40)

Uses Software

• COMSOL
• SIMRI

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Theory and practice of finite elements.
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